https://doi.org/10.1140/epjp/s13360-021-02315-w
Regular Article
Approximate solutions of Schrodinger equation and expectation values of Inversely Quadratic Hellmann-Kratzer (IQHK) potential
Faculty of Physical Sciences, Federal University of Technology, Owerri, Nigeria
a
chibueze.onyenegecha@futo.edu.ng
Received:
12
October
2021
Accepted:
22
December
2021
Published online:
21
January
2022
The study presents approximate solutions of Schrodinger equation with the Inversely quadratic Hellmann-Kratzer (IQHK) potential. The energy eigenvalues and corresponding wavefunctions are obtained analytically using the Nikiforov-Uvarov (NU) method. The expectation values of inverse position r−1, square of inverse position, r−2, kinetic energy, T, potential energy, V, and square of momentum, p2, and their respective numerical values are evaluated via the Hellmann–Feynman theorem. Special cases of IQHK potential are also reported.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022